Branching ratio between muon decay and capture in muonic hydrogen

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snorkack
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I find that I cannot find some simple and basic data - when I search, I find recent articles working on advanced extra experiments, but basic facts are taken for granted there and not repeated.

What happens to a muon in an atom?

Obviously, a free muon decays
μ->e+ν~e+νμ
with lifetime about 2,2*10^-6 s
A muon in atom might do the same.
But the muon in atom has an alternative reaction available:
p+μ->n+νμ
What is the branching ratio, in the ground state of mu hydrogen, between mu decay and muon capture?
 
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